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Optimal entry timing

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  • Kolb, Aaron M.

Abstract

A player of privately known strength chooses when to enter a market, and an incumbent chooses whether to compete or concede. Information about the potential entrant's type is revealed publicly according to an exogenous news process and the timing of entry. I analyze stationary equilibria using the public belief as a state variable. No equilibria in pure strategies exist, and smooth-pasting conditions need not hold. Under both D1 and a novel refinement, the informed player has nondecreasing value functions and her strategy has the following structure: for high states, both types enter with certainty; for a possibly empty interval of intermediate states, no type enters; and for low states, the high type enters while the low type mixes. I obtain closed form solutions and analyze comparative statics for such equilibria. The welfare effects of the presence of news, relative to no news, depend on the starting belief; however, for a fixed equilibrium, a marginal increase in news quality always helps the informed player regardless of her type and always hurts total welfare.

Suggested Citation

  • Kolb, Aaron M., 2015. "Optimal entry timing," Journal of Economic Theory, Elsevier, vol. 157(C), pages 973-1000.
    • Handle: RePEc:eee:jetheo:v:157:y:2015:i:c:p:973-1000
    DOI: 10.1016/j.jet.2015.03.002
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    References listed on IDEAS

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    1. Bergemann, Dirk & Valimaki, Juuso, 2002. "Entry and Vertical Differentiation," Journal of Economic Theory, Elsevier, vol. 106(1), pages 91-125, September.
    2. Alessandro Bonatti & Johannes Horner, 2011. "Collaborating," American Economic Review, American Economic Association, vol. 101(2), pages 632-663, April.
    3. Dixit, Avinash K, 1989. "Entry and Exit Decisions under Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 620-638, June.
    4. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 179-221.
    5. Brendan Daley & Brett Green, 2012. "Waiting for News in the Market for Lemons," Econometrica, Econometric Society, vol. 80(4), pages 1433-1504, July.
    6. Faruk Gul & Wolfgang Pesendorfer, 2012. "The War of Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 707-734.
      • Gul, Faruk & Pesendorfer, Wolfgang, 2010. "The War of Information," Papers 9-13-2010, Princeton University, Research Program in Political Economy.
    7. Glenn C. Loury, 1979. "Market Structure and Innovation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 395-410.
    8. Constance E. Helfat & Marvin B. Lieberman, 2002. "The birth of capabilities: market entry and the importance of pre-history," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 11(4), pages 725-760, August.
    9. Johannes Hörner & Dinah Rosenberg & Eilon Solan & Nicolas Vieille, 2010. "On a Markov Game with One-Sided Information," Operations Research, INFORMS, vol. 58(4-part-2), pages 1107-1115, August.
    10. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, December.
    11. John Hauser & Gerard J. Tellis & Abbie Griffin, 2006. "Research on Innovation: A Review and Agenda for," Marketing Science, INFORMS, vol. 25(6), pages 687-717, 11-12.
    12. Eduardo Faingold & Yuliy Sannikov, 2011. "Reputation in Continuous‐Time Games," Econometrica, Econometric Society, vol. 79(3), pages 773-876, May.
    13. Curtis R. Taylor, 1999. "Time-on-the-Market as a Sign of Quality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 555-578.
    14. Banks, Jeffrey S & Sobel, Joel, 1987. "Equilibrium Selection in Signaling Games," Econometrica, Econometric Society, vol. 55(3), pages 647-661, May.
    15. Touzi, N. & Vieille, N., 1999. "Continuous-Time Dynkin Games with Mixed Strategies," Papiers d'Economie Mathématique et Applications 1999.112, Université Panthéon-Sorbonne (Paris 1).
    16. Moscarini, Giuseppe & Squintani, Francesco, 2010. "Competitive experimentation with private information: The survivor's curse," Journal of Economic Theory, Elsevier, vol. 145(2), pages 639-660, March.
    17. Boyan Jovanovic, 1981. "Entry With Private Information," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 649-660, Autumn.
    18. Pauli Murto & Juuso Välimäki, 2011. "Learning and Information Aggregation in an Exit Game," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(4), pages 1426-1461.
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    Cited by:

    1. van Leeuwen, Boris & Offerman, Theo & van de Ven, Jeroen, 2018. "Fight or Flight : Endogenous Timing in Conflicts," Discussion Paper 2018-052, Tilburg University, Center for Economic Research.
    2. Dilmé, Francesc, 2019. "Dynamic quality signaling with hidden actions," Games and Economic Behavior, Elsevier, vol. 113(C), pages 116-136.
    3. Philipp Denter & John Morgan & Dana Sisak, 2022. "Showing Off or Laying Low? The Economics of Psych-outs," American Economic Journal: Microeconomics, American Economic Association, vol. 14(1), pages 529-580, February.
    4. Bloch, Francis & Fabrizi, Simona & Lippert, Steffen, 2022. "Hiding and herding in market entry," Journal of Economic Theory, Elsevier, vol. 206(C).
    5. Lang, Ruitian, 2019. "Try before you buy: A theory of dynamic information acquisition," Journal of Economic Theory, Elsevier, vol. 183(C), pages 1057-1093.
    6. Kolb, Aaron M., 2019. "Strategic real options," Journal of Economic Theory, Elsevier, vol. 183(C), pages 344-383.
    7. Raphael Boleslavsky, 2023. "Waiting for Fake News," Papers 2304.04053, arXiv.org, revised Apr 2023.

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    More about this item

    Keywords

    Dynamic games; Bayesian learning; Market entry; Optimal stopping; Information economics; Continuous time;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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